{
  "id": "1703.04938",
  "version": "v1",
  "published": "2017-03-15T05:39:46.000Z",
  "updated": "2017-03-15T05:39:46.000Z",
  "title": "Power sums in hyperbolic Pascal triangles",
  "authors": [
    "László Németh",
    "László Szalay"
  ],
  "comment": "13 pages, 1 figures",
  "journal": "Analele Stiintifice ale Universitatii Ovidius Constanta, 2017",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In this paper, we describe a method to determine the power sum of the elements of the rows in the hyperbolic Pascal triangles corresponding to $\\{4,q\\}$ with $q\\ge5$. The method is based on the theory of linear recurrences, and the results are demonstrated by evaluating the $k^{th}$ power sum in the range $2\\le k\\le 11$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-15T05:39:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "11B65",
      "11B99"
    ],
    "keywords": [
      "power sum",
      "hyperbolic pascal triangles corresponding",
      "linear recurrences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}